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Finding the Fourth Proportional to 82,940.75, 114,458.27 and 47,130.80

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Solution

The fourth proportional to 82,940.75, 114,458.27 and 47,130.80 is: 65,040.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,940.75 : 114,458.27 = 47,130.80 : x
  2. Step 2: Convert to fraction form
    82,940.75/114,458.27 = 47,130.80/x
  3. Step 3: Cross multiply
    82,940.75x = 114,458.27 × 47,130.80
  4. Step 4: Simplify right side
    82,940.75x = 5,394,509,831.72
  5. Step 5: Solve for x
    x = 5,394,509,831.72/82,940.75
  6. Step 6: Final answer
    x = 65,040.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.